Answer:
The baby's rectangular room is 14 feet long and 12 feet wide
Step-by-step explanation:
Assume we set:
x=width of the room
y=length of the room
The width of the room is 2 feet less than the length:
[tex]x=y-2\qquad\qquad [1][/tex]
The total length of the wallpaper needed is the perimeter of the room. The formula for the perimeter of a rectangle is:
P=2x+2y
And the perimeter is equal to 52 feet:
2x+2y=52
Dividing by 2:
[tex]x+y=26\qquad\qquad [2][/tex]
Substituting x from [1]:
y-2+y=26
Simplifying:
2y-2=26
Adding 2:
2y=28
Solving:
y=28/2=14
y=14
Find x:
x=y-2=14-2=12
The baby's rectangular room is 14 feet long and 12 feet wide
